"A Look at Polynomial Equations Arising from Molecular Chains"
by Dhyan Aranha
We will see how to derive polynomial equations that model the twist
angles of chains of atoms. Protein backbones and many drug molecules are
special cases of such chains. We then examine the complexity of the polyhedral
homotopy algorithm when applied to such systems, via an implementation
of Verschelde. We also discuss some of the pros and cons of polyhedral
homotopy.